448168248 has 256 divisors, whose sum is σ = 1451520000. Its totient is φ = 126783360.

The previous prime is 448168247. The next prime is 448168261. The reversal of 448168248 is 842861844.

448168248 is a `hidden beast` number, since 448 + 168 + 2 + 48 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448168247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3224163 + ... + 3224301.

It is an arithmetic number, because the mean of its divisors is an integer number (5670000).

Almost surely, 2^448168248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448168248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725760000).

448168248 is an abundant number, since it is smaller than the sum of its proper divisors (1003351752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448168248 is a wasteful number, since it uses less digits than its factorization.

448168248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 448168248 is about 21169.9846008447. The cubic root of 448168248 is about 765.2682488720.

The spelling of 448168248 in words is "four hundred forty-eight million, one hundred sixty-eight thousand, two hundred forty-eight".